• 대한수학교육학회지:수학교육학연구
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• 제19권1호
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• pp.143-161
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• 2009

본 연구는 기하문제해결에서 시각화 과정을 분석하여 기하추론교육에 시사점을 얻기 위하여 이루어졌다. 이를 위하여 선행연구를 근거로 시각화 과정을 구분하였으며 Duval의 이론을 기초로 시각화 과정 분석틀을 개발하였다. 서울과 경기지역의 중학교 3학년생 2명과 고등학교 1학년생 6명이 이 연구에 참여하였다. 각 학생들에게 평행선, 평행사변형, 닮음비, 닮음도형, 중선, 무게중심, 수직이등분선, 각의이등분선 등 평면도형 과제를 제공하고 각 학생의 문제해결 과정을 질적인 방법으로 분석하였다. 분석 결과 평면도형 문제해결에서 시각화는 도형의 이해를 도와 문제해결에 중요한 통찰을 제공하는 것으로 나타났다. 시각화 과정에서 도형에 대한 담론적 이해와 조작적 이해는 구성 요소들 간의 성질과 성질들 간의 관계를 알게 하고, 도형의 구조를 파악할 수 있게 하는 발견적 역할을 하였다.

• 한국환경보건학회지
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• 제36권5호
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• pp.351-359
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• 2010

The objectives of this study were to understand the characteristics of residents in industrial areas and factors affecting exposure to the Volatile Organic Compounds(VOCs : Benzene, Toluene, Xylene) as well as to assess exposure levels according to house-type, and whether residents were indoors or outdoors. This research was designed to assess the differences in exposure levels to indoor, outdoor and personal VOCs in a case group and a control group across all areas, as well as in each different area, from May to October 2007, in. 110 residents of the G, Y and H industrial areas of the Jun-nam province. The geometric mea-levels of airborne benzene for the case group 1.31part per billion(ppb) indoor, 1.29 ppb outdoor, and 1.32 ppb for personal exposure were significantly higher than for the control group 0.99, 0.87 and 0.57 ppb, respectively. The geometric mean level for toluene personal exposure across the G, Y and H areas was 5.70 ppb for the case group and 6.31 ppb for the control group. While the outdoor level was 4.27 ppb for the case group and 5.06 ppb for the control group, The indoor level for the case group was 4.78 ppb, similar to that of the control group 4.69 ppb. The geometric mean levels for airborne xylene across the G, Y and H areas were 0.16 ppb(outdoor), 0.12 ppb(personal exposure) and 0.10 ppb(indoor) for the case group, and for the control group were 0.17(personal exposure) and 0.09 ppb(indoor and outdoor). The indoor/outdoor(I/O) ratio for case group is 1.19, while that of the control group is 1.15, indicating that the indoor level was higher than the outdoor level. The interrelationship differences among the three different types of levels in the air in the G, Y and H areas are statistically significant, except for the difference between the indoor and outdoor figures for xylene. In terms of the different types of houses and energy type uesd, the geometric mean level for airborne benzene, toluene and xylene for houses were 1.61, 5.39 and 0.12 ppb, respectively. while the figures for flats were 0.67, 3.32 and 0.05 ppb, respectively. Outdoors, the levels of benzene and toluene in flats were 0.71 and 2.62 ppb, respectively. and 1.58 and 5.35 ppb in houses. For personal exposure, the house levels of benzene, toluene and xylene were all higher than for flats. Houses using oil for heating have significantly higher levels than flats, which use gas for heating.

• 한국CDE학회논문집
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• 제1권2호
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• pp.97-106
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• 1996

Existing CAD systems do not provide advanced functions for automatic checking design and drafting errors in mechanical drawings. If the knowledge of checking in mechanical ddrsfting can be implemented into computers, CAD systems could automatically check for design and drafting errors. This paper describes a method for systematic checking of dimension errors. such as deficiency and/or redundancy of dimension input-errors in dimension figures and symbols, etc. The logic for finding dimensional errors is written by using a proccedural language. A geometric model and a topological-graph model are used in this method. Checking for deficiency and redundancy of dimensions is based upon graph Theory.

• 한국수학사학회지
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• 제36권1호
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• pp.1-17
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• 2023

Paper folding is a versatile tool that can be used not only as a mathematical model for analyzing the geometric properties of plane and spatial figures but also as a visual method for finding the real roots of polynomial equations. The historical evolution of origami's geometric and algebraic techniques has led to the discovery of definitions and properties that can enhance one's cognitive understanding of mathematical concepts and generate mathematical interest and motivation on an emotional level. This paper aims to examine the history of origami geometry, the utilization of origami for solving polynomial equations, and the process of determining the real roots of quadratic, cubic, and quartic equations through origami techniques.

• 한국초등수학교육학회지
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• 제24권1호
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• pp.129-149
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• 2020

본 연구는 초등학교 1학년과 2학년 수학교과서가 제공하는 평면도형에 대한 학습기회를 기호학적 관점에서 분석한 결과를 보고한다. 2015 개정 수학과 교육과정에서 초등학교 1~2학년에 포함된 평면도형에 대한 학습은 학교에서 다루어지는 기하교육의 기초가 된다는 점에서 특히 중요하다. 수학학습은 의미의 문제와 관련되고 의미에 관한 활동은 기호 활동으로 볼 수 있다는 점에서 그리고 기호학적 분석은 의미에 대한 문제를 정교하게 기술하고 기회를 제공할 수 있다는 점에서 기호학의 관점과 도구를 채택하고, 사용한다. 교과서 활동이 요구하는 기호작용에 대한 분석을 통해 교과서 활동이 제공하는 학습기회의 의의를 드러내 기술할 수 있고, 겉으로 유사해 보이는 학습기회가 어떻게 다른지를 파악할 수 있음을 확인하였다. 분석 결과를 바탕으로, 1학년과 2학년 수학교과서에서 제공되는 학습기회 사이의 연계성에 대해서 논의하였다. 마지막으로 본 연구의 결론 및 시사점 그리고 후속연구를 제안하였다.

• 한국콘텐츠학회논문지
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• 제9권12호
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• pp.556-565
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• 2009

본 논문에서는 철근 배근시공도를 자동으로 생성하기 위한 CAD 소프트웨어 프레임워크를 제안한다. 철근배근시공도는 콘크리트 구조물의 철근 배치계획을 나타내는 도면으로 시공명세와 설계규칙을 기반으로 구조도면 위에 작성되는데, 배근도 작성은 어느 정도 정형화된 작업흐름을 가지기 때문에 자동화가 가능하다. 설계 자동화 소프트웨어의 핵심은 사용자의 입력을 최소화하면서 설계명세를 자동으로 인식하여 도면의 모양과 크기, 위치 등을 결정하는 것이다. 그래픽 파이프라인을 시공명세 DB, 도면속성 추출, 속성 바인딩, 렌더링 단계로 구성하고, 속성 추출과 바인딩을 효과적으로 수행하기 위해 계층적 접근방법을 사용한다; 도면의 속성을 공통, 구조물, 도면 속성으로 구분하고 작업과정에서 자동으로 추출하며, 최종적으로 도형과 바인딩 한다. 이를 AutoCAD 환경에서 구현하였으며, 설계자의 요구에 따라 쉽게 프로그램을 수정할 수 있었다.

• 복식
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• 제59권6호
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• pp.29-40
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• 2009

On April 28th of 2006, a set of Buddha's reliquary was excavated from the pagoda in n Nacsan Temple. According to the record, the relics were put in the pagoda in the 18th year of King SookJong in the Chosun Dynasty (1692). The present paper examines ten pieces of wrapping clothes covering reliquary found in the pagoda. They are especially precious data in the history of textiles because they were blocked off from outside and was preserved in good condition with vivid colors still remaining after more than 300 years. Of the ten pieces of wrapping cloth, five were double-layered and the other five were single-layered. They include 15 pieces of silk fabric but, excluding repeated use of the same silk fabric, the total of 11 pieces of silk fabric were examined. All 11 kinds of silk fabric were patterned, 9 of which were Satin and the other 2 were Twill. Of the 9 Satin pieces, 8 pieces were 5-end satin which had the ground of 5-end warp satin with the figure of 5-end weft satin. The remaining 1 Satin piece were more splendid with prominent figures by using warp and weft of different colors. The 2 Twill pieces used twill weave-the ground was 3-end warp twill and the figures were 5-end weft twill. Both of the Twill pieces were weaved with character patterns, partly using wrapped gold thread as supplementary weft. The patterns of 11 pieces of silk fabric include flower, dragon/phoenix, cloud, and geometric patterns. Five were flower patterns, three were dragon/phoenix patterns, two were geometric pattern, and one was cloud pattern. In addition, various treasure patterns, character patterns were utilized as supplementary patterns. The flower and phoenix patterns reflect characteristics of the textiles of the 17th century whereas check pattern and cloud pattern were very unique.

• 한국초등수학교육학회지
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• 제11권1호
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• pp.81-98
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• 2007

현재 초등학교 학생들은 도형 영역을 어려워하고 있으며, 학교 수학에서 배운 도형 관련 지식을 실제 생활에 잘 적용시키지 못하고 있다. 도형의 성질을 제대로 알지 못하거나 도형 사이의 포함관계를 이해하지 못하며, 전형적인 예에서 조금만 벗어나면 무슨 도형인지 알아채지 못하는 학생들이 많이 있다. 이에 본 연구에서는 학생들이 수학의 기하적 개념들을 쉽고 재미있게 학습할 수 있도록 하기 위하여 van Hiele의 이론을 바탕으로 하여 GSP를 활용할 수 있도록 교과서를 재구성하였다. 또한 재구성한 교과서가 실제 학생들의 van Hiele 수준 상승에 어떤 효과가 있는지 살펴보고, 초등학교 도형 학습에 GSP가 활발히 활용될 수 있는 계기를 마련하는데 목적이 있다.

• 복식
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• 제60권10호
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• pp.133-145
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• 2010

The study used four basic formats classified based on the four principles on costumes discussed in the paper 'Human Beings and Arts Phenomena' by Oskar Schlemmer who studied the relationships between stage space and the human body as an analysis tool with regard to analyses on the abstraction of human body in contemporary dance costume. Abstraction of human body expressed in costume for contemporary dance is as follows: Expansions caused by unclear boundary between spaces and costumes, and the principles of three-dimensional abstract spaces based on a geometric cube change heads, trunks, arms and legs to achieve expansions. Similar mechanical shape is a type of shape made in a succession of functional principles of human body in relationships with spaces. As mechanical mechanism is added to the geometric transformation of a specific part of human body, mechanicalness is contained in it. Motion organisms are geometric simplification of moving traces in a space based on conversion into mechanical organisms based on principles of motion, and as mechanical rotation, consecutive speed caused by refraction and directionality are suggested, mobility is achieved. Immaterial shape is based on change into a metaphysical form, and it is converted into animals, plants or a third life that symbolize body parts. It has metaphysical significance in each body part and extends sensibility. As a result of the study, development into abstract succession and a techno art mode has been confirmed. Combination of geometric cubic figures with the organic human body and configuration of the human body pursued by Oskar Schlemmer's geometric abstraction through the proactive accommodation of mechanical aesthetics has been succeeded and expressed in the contemporary dance costumes.

• 한국의상디자인학회지
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• 제4권2호
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• pp.139-161
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• 2002

This study investigates the characteristics of Nordic sweaters works from a historical perspective. Specifically, this study deals with the following research topics: 1) development of Nordic sweaters, 2) the characteristics of Nordic sweaters industry according to the change of times, 3) the comparison of local knitting patterns, 4) the symbolic meaning of the designs in the Nordic sweaters and patterns. The results of the study are summarized as follows. 1. Knitted work developed mostly in Northern Europe, a cold area, and the barren, mountainous coastal areas where people frequently used woolen materials for clothes. It was also developed in Scandinavian regions which lead the fashion in modern days. Scandinavian knitting techniques have been diffused into the east coast of England and Northern Europe by Vikings. 2. Scandinavian countries are distinguished from other countries by their conservative but creative cultural tradition. Their knitting patterns are characterized by small geometric figures such as dots, triangles, squares, rhombuses, and crosses used often with stars and roses. Scandinavian knitting is also salient for its vertical stripes and simple motifs repeating at short intervals. 1) Norway ; Simple and geometric Norwegian patterns are classified into three groups of motifs: (a) the motifs of cross, diamond, X, and swastika (equation omitted). (b) the motifs of human figures, animals and birds, (c) floral motifs (especially eight-petal roses). Their use of color is also simple, and is limited to more than two colors. (2) Sweden ; Swedish patterns are colorful and geometric. They are characterized by features such as brocade, complex embroidery, and contrast of red and black colors. They also show Guernsey patterns. Initials and production years were knitted in sweaters which have different patterns in their trunks and sleeves. 3) Denmark ; The Danish pattern is the purl stitch knitted against the stockinette stitch. The technique is used to copy woven damask motifs. The patterns are seen most clearly when they are knit with smooth yarn. The Faeroe sweaters are the representative work of Danish knitting. Faeroe knitting, incorporates stranded pattern and is knit in the round, either with circular needles. 4) Finland ; Finnish patterns are similar to Norwegian patterns. Finnish knitted work show very colorful, variety and free-flowing geometric patterns. 5) Iceland ; Icelandic knitting shows original ribbon pattern. Lope sweater is the representative work. 3. The traditional knitting patterns not only carried symbolic meanings but also served as means of communication. First of all, patterns had incantatory meanings. Patterns were symbolic of one's social standing, too. The colors, motifs and their arrangements were very important features symbolizing one's social position or family line. People often communicated by certain pieces of knitted work or patterns. In short, the knitted work in the Nordic sweaters served the function of admiring the beauty of nature and symbolizing various meanings. The unique designs and colors of the knitted work reflected the characteristics of the culture those works belonged to. This study also turns our attention to the issue of how the traditional colors and designs of the knitted work can contribute to the development of modern designs, and by doing so, if makes us realize the importance of knitted works in modern society.